Free Printable CHAPTER 2 FACTORISATION

1.

Permudahkan.

Simplify.

(5x + 2) – 3(x – 5)

a)

2x − 3

b)

2x + 17

c)

2x + 7

d)

4x – 3

2.

Faktorkan 9m² −25.

Factorise 9m² −25

a)

(3m − 5)(3m – 5)

b)

(3m + 5)(3m – 5)

c)

(3m + 5)(5 + 3m)

d)

(3m + 5)(5 − 3m)

3.

$\frac{3}{4}x-\frac{4}{5}x$ =

a)

$\frac{x}{20}$

b)

$-\frac{x}{20}$

c)

$20x$

d)

$-20x$

4.

Faktorkan.

Factorise.

6a + 21a²

a)

3a(6a + 21a²)

b)

3a(2a + 7a)

c)

3a(2 + 7a)

d)

3a(2 + 21a)

5.

Kembangkan.

Expand.

(p + q)(p − q) + p(p + q)

a)

−q² + pq

b)

p² – q² + pq

c)

2p² + pq – q²

d)

2p² – q² + 2pq

6.

Kembangkan.

Expand.

(4p − 3)²

a)

4p² − 9

b)

16p² – 9

c)

16p² – 24p + 9

d)

16p² + 24p − 9

7.

Faktorkan.
Factorise.

$6y^2-7y-3$

a)

(−3y – 1)(2y – 3)

b)

(3y + 1)(2y – 3)

c)

(6y – 2)(y + 2)

d)

(6y + 2)(y – 2)

8.

Permudahkan.
Simplify.

$\frac{3x^2+9x}{2x+10}\div\frac{3x}{x+5}$

a)

$\frac{x}{2}$

b)

$\frac{x+3}{2}$

c)

$\frac{3}{2}x$

d)

$\frac{2}{x+3}$

9.

Faktorkan.

Factorise.

4pqr + 12q²r

a)

4pq(r + 3qr)

b)

4p²q(p + 3)

c)

4qr(p + 3q)

d)

2qr (2p + 6q)

10.

Apakah faktor sepunya terbesar (FSTB) bagi sebutan 8p²k dan 20pk²?

What is the highest common factor (HCF) for terms 8p²k and 20pk²?

a)

4

b)

4p

c)

4pk

d)

4p²k²

11.

Permudahkan.
Simplify.

$\frac{9x^2-1}{6x+2}$

a)

$\frac{3x}{2}$

b)

$\frac{3x-1}{2}$

c)

$\frac{3x+1}{2}$

d)

$\frac{3x+1}{6x}$

12.

Kembangkan.

Expand.

(3 – 2p)(4 + p)

a)

12 – 5p − 2p²

b)

12 – 11p − 2p²

c)

12 + 5p − 2p²

d)

12 + 11p − 2p²

13.

Faktorkan.

Factorise.

3x² – 48

a)

3(x + 2)(x – 2)

b)

3(x − 4)(x + 4)

c)

3(x − 2)(x + 4)

d)

3(x + 1)(x – 4)

14.

Permudahkan.

Simplify.

(3p – 1)(p + 2) – 5p

a)

3p² + 2

b)

3p² − 2

c)

3p² − 10p + 2

d)

3p² − 10p − 2

15.

$\left(a+2b\right)^2-\left(a^2-b^2\right)$

a)

$3b^2$

b)

$5b^2+4ab$

c)

$5b^2+2ab$

d)

$a^2+4b^2$

16.

a(x + c) = b(x + d)

a)

X = bd - ac / a - b

b)

X = db + gh / f - f

c)

X = fd - ac / s - d

d)

X = ac + br / d - s

17.

Find the product of 15c and 4c².

a)

19c²

b)

19c³

c)

60c²

d)

60c³

18.

Factor: x² - 7x - 12

a)

(x + 4)(x + 3)

b)

(x + 4)(x – 3)

c)

3x² – 4x + 7

d)

Not factorable

19.

Expand and simplify: (4x + 3)(5x + 6)

a)

20x² + 39x + 18

b)

20x² + 9x + 18

c)

20x² + 18

d)

20x² – 18

20.

Expand the expression (x – y)(x + y)(x² + y²).

a)

x⁴ + y⁴

b)

x⁴ – y⁴

c)

x² – y⁴

d)

x⁴ – y²

21.

Expand and simplify:
(5h + 4k)²

a)

25h² + 40hk + 16k²

b)

25h² + 40h + 16k²

c)

25h² + 40hk - 16k²

d)

25h² - 40hk + 16k²

22.

(3pr + 7)(3pr – 7)

a)

9p²r² - 49

b)

9p²r² + 49

c)

9p²r² - 42pr + 49

d)

9p²r² - 42pr - 49

23.

What is the area of a square if its side measures (2x - 7) cm?

a)

4x² - 28x + 49 cm²

b)

4x² - 28x + 49 cm

c)

4x² - 49 cm²

d)

4x² + 28x + 49 cm²

24.

What is the perimeter of a square if its side measures (2x - 7) cm?

a)

8x - 28 cm

b)

8x - 28 cm²

c)

4x - 14 cm

d)

4x - 14 cm²

25.

Expand and simplify 4(5a + c) + 3(2a – 3c)

a)

26a + 5c

b)

26a – 13c

c)

31ac

d)

26a – 5c

26.

Expand:
(5 - x)(5 + x)

a)

x² + 25

b)

25 - x²

c)

25 - 10x - x²

d)

25 + x²

27.

Expand and simplify (x + 3)(x - 3)

a)

x² + 6x - 9

b)

x² - 6x - 9

c)

x² - 9

d)

x² + 9

28.

Which of the following is equivalent to 8h +7(2 + 4h)?

a)

90h

b)

12h + 14

c)

50h

d)

36h +14

29.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

30.

Expand and simplify (x + 3)(x - 3)

a)

x² + 6x - 9

b)

x² - 6x - 9

c)

x² - 9

d)

x² + 9

CHAPTER 2 FACTORISATION

Total questions: 30

Worksheet time: 8hrs 30mins

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